GCD of 280, 945, 625, 440 Calculator

Given Input numbers are 280, 945, 625, 440

In the factoring method, we have to find the divisors of all numbers

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (280, 945, 625, 440) = 5.

Given numbers are 280, 945, 625, 440

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 280, 945, 625, 440 is 5.

Given numbers are 280, 945, 625, 440

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(280, 945) = 7560

GCD(280, 945) = ( 280 x 945 ) / 7560

= 280 / 945

= 280

Step2:

LCM(35, 625) = 4375

GCD(35, 625) = ( 35 x 625 ) / 4375

= 35 / 625

= 35

Step3:

LCM(5, 440) = 440

GCD(5, 440) = ( 5 x 440 ) / 440

= 5 / 440

= 5

So, Greatest Common Divisor of 280, 945, 625, 440 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 376, 848, 413
• GCD of 260, 678, 724, 789
• GCD of 194, 640, 528, 665
• GCD of 391, 205, 667, 801
• GCD of 464, 191, 558, 991

Given numbers are 280, 945, 625, 440
The greatest common divisor of numbers 280, 945, 625, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 945, 625, 440 is 5.

1. What is the GCD of 280, 945, 625, 440?

GCD of given numbers 280, 945, 625, 440 is 5

2. How to calculate the greatest common divisor of 280, 945, 625, 440?

We can find the highest common divisor of 280, 945, 625, 440 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 280, 945, 625, 440 i.e 5.

3. How can I use the GCD of 280, 945, 625, 440Calculator?

Out the numbers 280, 945, 625, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.